Kaehler normal coordinate expansion in supersymmetric theories

The Riemann normal coordinate expansion method is generalized to a Kaehler manifold. The Kaehler potential and holomorphic coordinate transformations are used to define normal coordinates preserving the complex structure. The existence of these Kaehler normal coordinates is shown explicitly to all orders. The formalism is applied to background field methods in supersymmetric nonlinear sigma models. (author)